In 2019, the distribution of golfer Lexi Thompson’s driving distance had a mean of 276 yards. Assuming that her distribution of driving distance is approximately normal with an 80th percentile of 290 yards, calculate its standard deviation.

Standard Deviation = ___ yards. (Round to 2 decimal places.)

A composite function exists as a function that depends on another function. The value for  (f⁰f)(0) = - 4/3

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the two functions be g(x) = 3x + 2 and f(x) = x - 2/3

Now, (f⁰f)(x) = f[f(x)]

f(x) = x - 2/3

(f⁰f)(x) = f( x - 2/3)

simplifying the above equation, we get

(f⁰f)(x) = (x - 2/3) - 2/3  

(f⁰f)(0) = - 2/3 - 2/3

(f⁰f)(0) = - 4/3

Therefore, the value of (f⁰f)(0) = - 4/3.

To learn more about composition function refer to:

brainly.com/question/10687170

#SPJ4

n-2 is the next larger odd integer if the number represented by n-3 is an odd number.

Parity, in mathematics, is the characteristic of an integer that determines whether it is even or odd. If an integer is a multiple of two, it is even; otherwise, it is odd. For instance, 4, 0, and 82 are even. 3, 5, 7, and 21 are odd numbers in comparison.

Whole numbers that cannot be divided perfectly into pairs are referred to as odd numbers. When two is divided by an odd number, one is left over.

based on the available facts;

Formulate based on the conditions stated:

(n-3)+1

Rearrange and group related terms:

n+(-3+1)

Calculate the sum or difference:

n-2

Answer is n-2

To know more about odd integer visit;

https://brainly.com/question/240064

#SPJ9

Answer:The answer to your question is

I bought

12

hardcover books and

24

softcover books.

Explanation:

We shall represent the hardcover books purchased by

x

and the softcover books purchased by

y

. From the details we can write two equations:

x

+

y

=

36

8

x

+

2

y

=

144

From the first equation we can calculate the value of

y

.

x

+

y

=

36

Subtract

x

from each side.

y

=

36

−

x

Now, in the second equation, substitute

y

with

(

36

−

x

)

.

8

x

+

2

y

=

144

8

x

+

2

(

36

−

x

)

=

144

Open the brackets and simplify.

8

x

+

72

−

2

x

=

144

6

x

+

72

=

144

Subtract

72

from both sides.

6

x

=

72

Divide both sides by

6

.

x

=

12

Now in the first equation, substitute

x

with

12

.

x

+

y

=

36

12

+

y

=

36

Subtract

12

from both sides.

y

=

24

Step-by-step explanation:

Hope I helped!Dont forget to hit that Brainliest button for me!If I really helped you.

Answer:

square = width*height,

circle=pi*r^2

triangle = w * h * 0.5

Step-by-step explanation:

square = width*height,

circle=pi*r^2

triangle = w * h * 0.5

Answer:

Step-by-step explanation: the five was never in bracket and -2 times 2 = -4

(5)^2 -2(5-3)

=(5)^2  -2(2)

=25  -2(2)

25 (-4)

-100

The linear equation in slope intercept form is y = -2x + 1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table represents the given parameters

On the table, we have the following points

(x, y) = (0, 1) and (1, -1)

A linear equation is represented as

y = mx + c

Substitute (x, y) = (0, 1) and (1, -1) in y = mx + c

So, we have

1 = 0 * m + c

-1 = 1 * m + c

This gives

1 = c

-1 =m + c

Rewrite 1 = c as

c = 1

Substitute c = 1 in -1 =m + c

-1 =m + 1

Evaluate

m = -2

Substitute m = -2 and c = 1 in y = mx + c

y = -2x + 1

Hence, the linear equation in slope intercept form is y = -2x + 1

Read more about linear equation at

https://brainly.com/question/1884491

#SPJ1

The exponential expression [tex]6^{-3}[/tex]/ [tex]3^{-2}[/tex] * 6² is equivalent to the exponential expression is 3² / [tex]6^{5}[/tex] which is option 2 and not option 1

The Exponential expression given to us is 6^-3/3^-2x6^2 or we can write it as

[tex]6^{-3}[/tex]/ [tex]3^{-2}[/tex] * 6²

There is a rule for solving exponents that when we reciprocate the fractions with exponential powers the signs of powers get changed from negative to positive and positive to negative

for example

[tex]x^{-2}[/tex] is written as [tex]\frac{1}{x^{2} }[/tex]

So, we can write the above  exponential expression as

3² / 6³ × 6²

Also, when two same numbers with different powers then the base remains same and powers get added.

3² / [tex]6^{3+5}[/tex]

3² / [tex]6^{5}[/tex]

So, the exponential expression [tex]6^{-3}[/tex]/ [tex]3^{-2}[/tex] * 6² is equivalent to the exponential expression is 3² / [tex]6^{5}[/tex] which is option 2 and not option 1

To know more about exponents - https://brainly.com/question/5497425

#SPJ1

The function that relates the sales and the number of muffins is :

S = 2.5 m

The sales amount can be find by the total sales. That is , if there are n products to sell and selling amount is x rs. then we can easily find the total sales by multiplying them and by this total sales we can easily find the number of items sold per units and vice versa.

In the question given,

amount (A) = $ 250.00

Now take any of two values from table ,

Choose any two points and calculate the slope:

slope = [tex]\frac{50 - 20}{20 - 8}[/tex] =  2.5

thus, y = 2.5x

Hence we can say the function that relates the sales and the number of muffins is :

S = 2.5 m

where, S = sales amount

           m = number of muffins to be sell

To know more about sales amount, visit :

brainly.com/question/4542613

#SPJ4

The complete question is:

In a bake sale, you recorded the number of muffins sold and the amount of sales in a table as shown.

a. What is a function that relates the sales and the number of muffins?

b. How many muffins would you have to sell to make at least $ 250.00 in sales?

Answer:

Step-by-step explanation:

It’s the 3rd and last one 0.5 swim and 1.5 bike and 0 hours swim and 2 bike

I’ve done the test

All denominators are [tex]= -17-4\sqrt{5}[/tex].

The phrase simplifies manner to make something simpler to do or recognize. So, by decreasing or simplifying the fractions method we make the fraction as simple as feasible. We do this by dividing the numerator and the denominator with the aid of the most important range that could divide into both numbers precisely.

The only form is likewise known as the decreased form of a fraction. for instance, ¾ is the most effective shape of a fraction that has a not unusual thing equal to 1. but 2/4 is not the most effective form, because 2/four can in addition be simplified and written as ½.

Step one is to perceive a common issue between the denominator and numerator. The denominator and numerator are each divided by the commonplace thing. The department operation is repeated until there are not any extra elements. The fraction is said to be simplified if no greater factors go out.

Apply FOIL method : (a+b)(c+d)= ac+ad+bc+bd

[tex](3+2\sqrt{5} )(1-2\sqrt{5} =3.1.3(-2\sqrt{5} )+2\sqrt{5}.1+2\sqrt{5} (-2\sqrt{5} )[/tex]

[tex]= 3.1+3(-2\sqrt{5} )+2\sqrt{5} .1+2\sqrt{5} (-2\sqrt{5} )[/tex]

[tex]= -17-4\sqrt{5}[/tex]

Learn more about simplifying here brainly.com/question/723406

#SPJ4

The transformations needed to sketch the graph of [tex]h(x) = \sqrt[3]{1 - x}[/tex] are described as follows:

Starting with the graph of the basic function [tex]y = \sqrt[3]{x}[/tex], horizontally shift the graph right one unit, and then reflected the graph about the x-axis.

A transformation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

The parent cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

To have x -> x - 1, we reflect the function over the y-axis, hence:

[tex]y = \sqrt[3]{-x}[/tex]

To have -x -> 1 - x, we shift it one unit right, hence:

[tex]h(x) = \sqrt[3]{1 - x}[/tex]

The order of the transformations can be reversed, i. e., shift right then reflection.

Thus the correct statement to sketch the graph is given by:

Starting with the graph of the basic function [tex]y = \sqrt[3]{x}[/tex], horizontally shift the graph right one unit, and then reflected the graph about the x-axis.

More can be learned about transformations at https://brainly.com/question/4521517

#SPJ1

Answer: 2

Step-by-step explanation:

8+14-5-7+3-7-4

add first.

8+14+3=25

25-5-7-7-4

now subtraction, set aside the added solution, 25.

-5-7-7-4=-23

25-23=2

Answer:

2

Step-by-step explanation:

Parentheses

Exponents

Multiply

Divide

Addition

Subtraction

8+14-5-7+3-7-4

Do addition and subtraction what ever comes first from left to right.

22-5-7+3-7-4

17-7+3-7-4

10+3-7-4

13-7-4

6-4

2

Answer:

14

Step-by-step explanation:

To solve [tex]\frac{ab^2-4}{10}[/tex]

We need to know what [tex]ab^2[/tex] is.

[tex]ab^2 = a*b^2 = 4 * 6^2 = 4*36 = 144[/tex]

[tex]\frac{144-4}{10} = 140/10 =14[/tex]

Hope this helps :)

Have a great day!

Answer:

A) The original price of music player is $170.66

B) If the item was marked up by 1/2 before it was placed on the sales floor, what was that the store paid for the digital player.?

Step-by-step explanation:

A)you would divide $128 by 4, getting $32. then add that to the original price, being $160.

B) you would divide $160 by 2, getting $80, then add those two together in order to find what it was marked up to, being $240. hopefully this helps

The value of the expression,  5([tex]2^{-3}[/tex]) is expressed as: 5/8.

We are given the expression, 5([tex]2^{-3}[/tex]), to find the value of the expression, the steps explained below should be taken.

5([tex]2^{-3}[/tex]) [given expression]

Apply the negative exponents rule to evaluate the exponent in the expression

5([tex]2^{-3}[/tex]) = 5(1/2³)

5([tex]2^{-3}[/tex]) = 5/2³

Solve the exponent to eliminate the power of minus 3

5([tex]2^{-3}[/tex]) = 5/(2 × 2 × 2)

5([tex]2^{-3}[/tex]) = 5/8

Thus, the value of the expression,  5([tex]2^{-3}[/tex]) is expressed as: 5/8.

Learn more about the value of an expression on:

https://brainly.com/question/27645718

#SPJ1

Aqil have 88 stickers.

Let Ryan have x stickers initially. Then Aqil will have (352-x) stickers. Ryan lost 25% of his stickers i.e., x-(25% of x)

= x- 25x/100

= x-x/4

= 3x/4

After Ryan lost 25% of his stickers, the ratio of Ryan's stickers to Aqil's stickers was 9:4 i.e.,

3x/4 : (352-x) = 9 : 4

⇒ 3x/4/(352-x) = 9/4

⇒3x/4 x 4 = 9 x (352-x)

⇒3x = 3168-9x

⇒3x+9x = 3168

⇒12x = 3168

⇒x = 3168/12

⇒x = 264

∴ Ryan have 264 stickers of the total 352 stickers and Aqil will have (352-x) i.e., 88 stickers.

Hence, Aqil have 88 stickers out of the 352 stickers.

Learn more in depth about ratio at https://brainly.com/question/2784798

#SPJ9

The angle of A when the polygon slides 4 units left and 3 units up on the coordinate plane is 75°.

From the information, Polygon AVC’s slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees.

It should be noted that translation doesn't change the angle. Therefore, the number will be the same as the translation is stationary.

Therefore, the angle of A when the polygon slides 4 units left and 3 units up on the coordinate plane is 75°

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

Multiply by 2: Divide by (a+b)

Answer:

r=(a-1)/pt

Step-by-step explanation:

a=1+prt

a-1=prt

a-1/pt=r

r=a-1/pt

a. Mean and Median is 2.95 and 3 respectively

b. The  first and third quartiles5.25 and 15.75 respectively

c. Range and interquartile range is 7 and 4 respectively

d. Variance and Standard Deviation is 4.201 and 2.049 respectively

e. The skewness is not expected as it largely differs from the mean.

Rearranging the data.

0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6,7

Mean = ∑▒(x/N)

Mean = (6+1+ 5 +3+ 7+ 3 +0+ 3+ 1+ 3 +4 +1+ 2+ 4 +1+ 0 +5 +6 +3+ 1)/20

= 59/20

=2.95

Median = Sum of (10th and 11th number) /2

(3 +3)/ 2

=6/2

=3

Quartile = 0, 0, 1, 1, 1,     1, 1, 2, 3, 3,    3, 3, 3, 4, 4,    5, 5, 6, 6,7

Q1=Value of (((n+1))/4)

Q1=Value of ((1(20+1))/4)

Q1=Value of ((21))/4)

Q1= (5.25)

observation=Value of (5th)

observation= 1

Q3=Value of (((n+1))/4)

Q3=Value of ((3(20+1))/4)

Q3=Value of (((63))/4)

Q3= (15.75)

observation=Value of (16th)

observation = 5

Range = highest value - lowest value

= 7-0

= 7

Interquartile range = q3 – q1

=5 – 1

= 4

Variance =    Σ(Xi-¯X)2/N

x (x-xi) (x-xi)2

0 (0-2.95) -2.95

0 (0-2.95) -2.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

2 (2-2.95) 0.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

4 (4-2.95) 2.95

4 (4-2.95) 2.95

5 (5-2.95) 3.95

5 (5-2.95) 3.95

6 (6-2.95) 4.95

6 (6-2.95) 4.95

7 (7-2.95) 5.95

 Σ=(84.0125)

Variance = 84.0125/20

Variance = 4.201

Standard deviation = √variance

S.D = √4.201

S.D = 2.049

e. the skewness is not expected as it largely differs from the mean.

To learn more about mean, median, mode, variance, and standard deviation. Click, https://brainly.com/question/13202035

#SPJ4

Answer:

Step-by-step explanation:

Answer:

-21 3/23

Step-by-step explanation:

-27 / 23 is -1 4/13, -1 4/23 *18 is -21.13 or -21 3/23

good luck buddy rip if you dont get the question

Answer:

y-2 = -5(x-8)

Step-by-step explanation:

y-y₁=m(x-x₁)

Answer:

He would have $100 in his bank account from the information provided

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert 9 feet into meters:

Round 2.7432 meters:

Answer: D y=4x   3=4y+x

Step-by-step explanation:

[tex]y=4x\ \ \ \ m=4\\\\3=4y+x\\3-x=4y+x-x\\3-x=4y\\-x+3=4y[/tex]

Divide both parts of the equation by 4:

[tex]\displaystyle\\-\frac{x}{4} +\frac{3}{4}=y \\\\-\frac{1}{4} x+0.75=y\\\\y=-\frac{1}{4} x+0.75\ \ \ \ m_{\perp}=-\frac{1}{m}=-\frac{1}{4}[/tex]

The trace of water left on the floor is the circumference of 565.2 cm.

Water traces are seen on the floor from a wet bicycle tire.

The bicycle wheel makes three complete rotations before coming to a stop, circumference  and the tire has a radius of 30 cm.

The circle of the cycle is indicated by the water stain left on the floor.

Given the radius = 30 cm

So,

C = 2 × 3.14 × 30

C = 188.4

Given that a bicycle wheel turns three times before pausing to pick up a trace of water, the answer is,

3 x 188.4 = 565.2 cm

the floor has a 565.2 centimeter trace of water.

To learn more about circumference refer the link:

https://brainly.com/question/4268218

#SPJ9

The value of A is 954

According to the question we have been given that

The equation to be used is :   A = P(1+in)

The values we have been given are ;

       P = 900

       i = 0.03

      n = 2

We need to find the value of A. So to find the value of A we have to put the required values in the equation given to us. Thus,

       A = 900(1+0.03*2)

We will solve according to the BODMAS rule that is we have to first solve the bracket terms.

    A = 900(1 + 0.06)

   A = 900*1.06

    A = 954

Hence the value of A is 954.

Learn more about equation here : https://brainly.com/question/22688504

#SPJ9

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(10,8)

Equation Form:

x=10,y=8

Step-by-step explanation:

Answer:

2x>8

Step-by-step explanation:

this should be right

Taking into account the definition of probability, the probability for a customer to pick at least one item is 14/15.

Probability is the possibility that a phenomenon or an event will happen, given certain circumstances and it is expressed as a percentage.

The probability of any event A is defined as the ratio between the number of cases in which event A may or may not occur and the total number of possible cases. This is called Laplace's Law:

P(A)= number of favorable cases÷ total number of posible cases

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event is verified when one of the two, A or B, or both occurs and it is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B.

In first place, let's define the following events:

So you know:

In this case, considering the definition of union of events, the probability for a customer to pick at least one item is calculated as:

P(M∪F)= P(M) + P(F) -P(M∩F)

P(M∪F)= 17/30 + 5/6 -7/15

P(M∪F)= 14/15

Finally, the probability for a customer to pick at least one item is 14/15.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1